Zorn's lemma, also known as the Kuratowski–Zorn lemma, is a proposition of set theory. It states that a partially ordered set containing upper bounds for...

local lemma Nakayama's lemma Poincaré's lemma Riesz's lemma Schur's lemma Schwarz's lemma Sperner's lemma Urysohn's lemma Vitali covering lemma Yoneda's...

on the following technical lemma, sometimes referred to as the Shen criterion in the literature. Lemma Let (G, G+) be a Riesz group, ϕ: (Zk, Zk+) → (G,...

and Riesz (1907). The general result, that the dual of a Hilbert space is identified with the Hilbert space itself, can be found in Riesz (1934). von Neumann...

Hausdorff maximal principle is an alternate and earlier formulation of Zorn's lemma proved by Felix Hausdorff in 1914 (Moore 1982:168). It states that in any...

category of commutative C*-algebras and that of compact Hausdorff spaces. The Riesz representation theorem states that a Hilbert space, such as the square-integrable...

invitation of the mathematician Hermann Weyl. While there, he also met John von Neumann. Kakutani received his Ph.D. in 1941 from Osaka University and taught...

Prékopa–Leindler inequality Rayleigh–Faber–Krahn inequality Remez inequality Riesz rearrangement inequality Schur test Shapiro inequality Sobolev inequality...

(algebraic geometry) Riesz representation theorem (functional analysis, Hilbert space) Riesz–Fischer theorem (real analysis) Riesz–Thorin theorem (functional...

Maehara, that Brouwer's fixed point theorem implies Jordan's theorem. Denjoy–Riesz theorem, a description of certain sets of points in the plane that can be...